Cigarette Smoking A researcher found that a cigarette smoker smokes on average 31 cigarettes a day. She feels that this average is too high. She selected a random sample of 8 smokers and found that the mean number of cigarettes they smoked per day was 28. The sample standard deviation was 2.9. At a=0.01, is there enough evidence to support her claim? Assume that the population is approximately normally distributed. Use the critical value method and tables. olo Part: 0 / 5 Part 1 of 5 (a) State the hypotheses and identify the claim. H₂|μ = 0 not claim H₁ μ0 claim This hypothesis test is a two-tailed test. μ 0=0 X O

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question

Part 1 of 5

2. Find any critical values.

3. test statistic.

4. correct or reject?

5. is there evidence to support, is not, the claim, etc.

**Cigarette Smoking Study Analysis**

A researcher found that a cigarette smoker smokes, on average, 31 cigarettes a day. She feels that this average is too high. A random sample of 8 smokers was selected and their mean daily cigarette consumption was found to be 28. The sample had a standard deviation of 2.9. At a significance level of α = 0.01, we will explore whether there is enough evidence to support her claim. Assume that the population is approximately normally distributed. We will use the critical value method and tables for this analysis.

**Part 1 of 5**

(a) **State the Hypotheses and Identify the Claim:**

- Null Hypothesis \((H_0)\): \( \mu = 0 \) (not claim)
- Alternative Hypothesis \((H_1)\): \( \mu \neq 0 \) (claim)

The hypothesis test in this case is a two-tailed test.

**Hypothesis Details:**

The task is to determine whether the mean number of cigarettes smoked per day, based on our sample, is significantly different from the assumed population mean of 31 cigarettes.

**Diagram Explanation:**

The diagram section consists of selectable options for stating the null and alternative hypotheses. These indicate choices for equality, inequality, or directional hypotheses, illustrating the setup necessary for conducting statistical tests.

The objective is to compare the observed sample mean against the known population mean to determine significant differences at the specified significance level.
Transcribed Image Text:**Cigarette Smoking Study Analysis** A researcher found that a cigarette smoker smokes, on average, 31 cigarettes a day. She feels that this average is too high. A random sample of 8 smokers was selected and their mean daily cigarette consumption was found to be 28. The sample had a standard deviation of 2.9. At a significance level of α = 0.01, we will explore whether there is enough evidence to support her claim. Assume that the population is approximately normally distributed. We will use the critical value method and tables for this analysis. **Part 1 of 5** (a) **State the Hypotheses and Identify the Claim:** - Null Hypothesis \((H_0)\): \( \mu = 0 \) (not claim) - Alternative Hypothesis \((H_1)\): \( \mu \neq 0 \) (claim) The hypothesis test in this case is a two-tailed test. **Hypothesis Details:** The task is to determine whether the mean number of cigarettes smoked per day, based on our sample, is significantly different from the assumed population mean of 31 cigarettes. **Diagram Explanation:** The diagram section consists of selectable options for stating the null and alternative hypotheses. These indicate choices for equality, inequality, or directional hypotheses, illustrating the setup necessary for conducting statistical tests. The objective is to compare the observed sample mean against the known population mean to determine significant differences at the specified significance level.
Expert Solution
Step 1: Given information

μ=31,n=8,X¯=28,s=2.9,α=0.01

trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 2 images

Blurred answer
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman